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509816394140 = 225232938217121
BaseRepresentation
bin1110110101100110110…
…11001101000110011100
31210201220222111012110212
413122303123031012130
531323100444103030
61030112330351552
751555503564264
oct7326333150634
91721828435425
10509816394140
11187237077729
128298058b5b8
13390c9aa1011
141a964c307a4
15d3dc824595
hex76b36cd19c

509816394140 has 48 divisors (see below), whose sum is σ = 1155685769280. Its totient is φ = 188333967360.

The previous prime is 509816394121. The next prime is 509816394167. The reversal of 509816394140 is 41493618905.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19095221 + ... + 19121900.

It is an arithmetic number, because the mean of its divisors is an integer number (24076786860).

Almost surely, 2509816394140 is an apocalyptic number.

It is an amenable number.

509816394140 is an abundant number, since it is smaller than the sum of its proper divisors (645869375140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509816394140 is a wasteful number, since it uses less digits than its factorization.

509816394140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38217182 (or 38217180 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 509816394140 in words is "five hundred nine billion, eight hundred sixteen million, three hundred ninety-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 13340 38217121 76434242 152868484 191085605 382171210 764342420 878993783 1108296509 1757987566 2216593018 3515975132 4394968915 4433186036 5541482545 8789937830 11082965090 17579875660 22165930180 25490819707 50981639414 101963278828 127454098535 254908197070 509816394140